10103132313000 has 192 divisors, whose sum is σ = 34486695144720. Its totient is φ = 2667493440000.

The previous prime is 10103132312983. The next prime is 10103132313041. The reversal of 10103132313000 is 31323130101.

It is a happy number.

10103132313000 is a `hidden beast` number, since 1 + 0 + 10 + 31 + 323 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1131657674436 + 8971474638564 = 1063794^2 + 2995242^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4648279 + ... + 6466278.

Almost surely, 2^{10103132313000} is an apocalyptic number.

10103132313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103132313000 is an abundant number, since it is smaller than the sum of its proper divisors (24383562831720).

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

10103132313000 is a wasteful number, since it uses less digits than its factorization.

10103132313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114685 (or 11114668 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10103132313000 its reverse (31323130101), we get a palindrome (10134455443101).

The spelling of 10103132313000 in words is "ten trillion, one hundred three billion, one hundred thirty-two million, three hundred thirteen thousand".