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131021332332221 = 1757181198316931
BaseRepresentation
bin11101110010100111000111…
…111110001011111010111101
3122011220111221220222110201102
4131302213013332023322331
5114133123142034112341
61142354211422222445
736411656520246062
oct3562470776137275
9564814856873642
10131021332332221
1138824920423051
121284098b124a25
135815349273cc6
14244d675826c69
151023273a05c9b
hex7729c7f8bebd

131021332332221 has 32 divisors (see below), whose sum is σ = 139292560382976. Its totient is φ = 122814120672000.

The previous prime is 131021332332199. The next prime is 131021332332299. The reversal of 131021332332221 is 122233233120131.

It is a cyclic number.

It is not a de Polignac number, because 131021332332221 - 26 = 131021332332157 is a prime.

It is a super-2 number, since 2×1310213323322212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021332302221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738538126 + ... + 7738555056.

It is an arithmetic number, because the mean of its divisors is an integer number (4352892511968).

Almost surely, 2131021332332221 is an apocalyptic number.

It is an amenable number.

131021332332221 is a deficient number, since it is larger than the sum of its proper divisors (8271228050755).

131021332332221 is a wasteful number, since it uses less digits than its factorization.

131021332332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131021332332221 its reverse (122233233120131), we get a palindrome (253254565452352).

The spelling of 131021332332221 in words is "one hundred thirty-one trillion, twenty-one billion, three hundred thirty-two million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 17 571 811 983 9707 13787 16711 16931 287827 463081 561293 797213 7872377 9541981 9667601 13552621 13731041 16643173 164349217 233427697 282933941 455208623 7738546591 7840424411 9503251783 13497613303 133287214987 161555280311 229459426151 7707137196013 131021332332221