10103003131032 has 96 divisors (see below), whose sum is σ = 31909388004000. Its totient is φ = 2886572316096.

The previous prime is 10103003131021. The next prime is 10103003131129. The reversal of 10103003131032 is 23013130030101.

It is a happy number.

10103003131032 is a `hidden beast` number, since 1 + 0 + 10 + 300 + 313 + 10 + 32 = 666.

It is a super-2 number, since 2×10103003131032² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10103003130996 and 10103003131014.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 204522663 + ... + 204572054.

It is an arithmetic number, because the mean of its divisors is an integer number (332389458375).

Almost surely, 2^{10103003131032} is an apocalyptic number.

10103003131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103003131032 is an abundant number, since it is smaller than the sum of its proper divisors (21806384872968).

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

10103003131032 is a wasteful number, since it uses less digits than its factorization.

10103003131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409094750 (or 409094729 counting only the distinct ones).

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

Adding to 10103003131032 its reverse (23013130030101), we get a palindrome (33116133161133).

The spelling of 10103003131032 in words is "ten trillion, one hundred three billion, three million, one hundred thirty-one thousand, thirty-two".