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131001323313 = 3747939130127
BaseRepresentation
bin111101000000001001…
…0011000111100110001
3110112010201002201222110
41322000102120330301
54121242314321223
6140103044555533
712315222606210
oct1720022307461
9415121081873
10131001323313
1150614917163
12214800b2ba9
13c479486133
1464aa47d077
15361ac06d93
hex1e80498f31

131001323313 has 16 divisors (see below), whose sum is σ = 199626762240. Its totient is φ = 74855762256.

The previous prime is 131001323267. The next prime is 131001323317. The reversal of 131001323313 is 313323100131.

It is not a de Polignac number, because 131001323313 - 226 = 130934214449 is a prime.

It is a super-2 number, since 2×1310013233132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131001323313.

It is not an unprimeable number, because it can be changed into a prime (131001323317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941656 + ... + 1071782.

It is an arithmetic number, because the mean of its divisors is an integer number (12476672640).

Almost surely, 2131001323313 is an apocalyptic number.

It is an amenable number.

131001323313 is a deficient number, since it is larger than the sum of its proper divisors (68625438927).

131001323313 is a wasteful number, since it uses less digits than its factorization.

131001323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178076.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131001323313 its reverse (313323100131), we get a palindrome (444324423444).

The spelling of 131001323313 in words is "one hundred thirty-one billion, one million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 7 21 47939 130127 143817 335573 390381 910889 1006719 2732667 6238158253 18714474759 43667107771 131001323313