102123131313132 has 72 divisors (see below), whose sum is σ = 258292241206272. Its totient is φ = 34021577167200.

The previous prime is 102123131313067. The next prime is 102123131313179. The reversal of 102123131313132 is 231313131321201.

102123131313132 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 31 + 313 + 1 + 313 + 2 = 666.

It is a super-2 number, since 2×102123131313132² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102123131313096 and 102123131313105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515437407 + ... + 515635497.

It is an arithmetic number, because the mean of its divisors is an integer number (3587392238976).

Almost surely, 2^{102123131313132} is an apocalyptic number.

102123131313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102123131313132 is an abundant number, since it is smaller than the sum of its proper divisors (156169109893140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102123131313132 is a wasteful number, since it uses less digits than its factorization.

102123131313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206219 (or 206214 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 102123131313132 its reverse (231313131321201), we get a palindrome (333436262634333).

The spelling of 102123131313132 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-two".