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131313032121 = 34110310619769
BaseRepresentation
bin111101001001011011…
…1011101101110111001
3110112221102122012002010
41322102313131232321
54122412114011441
6140154022000133
712326026233225
oct1722267355671
9415842565063
10131313032121
1150764868647
1221548576049
13c4c8c2350b
1464d9a1d785
15363827a116
hex1e92dddbb9

131313032121 has 32 divisors (see below), whose sum is σ = 181284929280. Its totient is φ = 84489292800.

The previous prime is 131313032113. The next prime is 131313032129. The reversal of 131313032121 is 121230313131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131313032113) and next prime (131313032129).

It is not a de Polignac number, because 131313032121 - 23 = 131313032113 is a prime.

It is a super-2 number, since 2×1313130321212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131313032129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13436925 + ... + 13446693.

It is an arithmetic number, because the mean of its divisors is an integer number (5665154040).

Almost surely, 2131313032121 is an apocalyptic number.

It is an amenable number.

131313032121 is a deficient number, since it is larger than the sum of its proper divisors (49971897159).

131313032121 is a wasteful number, since it uses less digits than its factorization.

131313032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131313032121 its reverse (121230313131), we get a palindrome (252543345252).

The spelling of 131313032121 in words is "one hundred thirty-one billion, three hundred thirteen million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 41 103 123 309 1061 3183 4223 9769 12669 29307 43501 109283 130503 327849 400529 1006207 1201587 3018621 4480603 10364909 13441809 31094727 41254487 123763461 424961269 1067585627 1274883807 3202756881 43771010707 131313032121