10031513414132 has 48 divisors (see below), whose sum is σ = 20143600404480. Its totient is φ = 4281963782400.

The previous prime is 10031513414129. The next prime is 10031513414141. The reversal of 10031513414132 is 23141431513001.

It is a super-2 number, since 2×10031513414132² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031513414095 and 10031513414104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25344632 + ... + 25737392.

It is an arithmetic number, because the mean of its divisors is an integer number (419658341760).

Almost surely, 2^{10031513414132} is an apocalyptic number.

It is an amenable number.

10031513414132 is an abundant number, since it is smaller than the sum of its proper divisors (10112086990348).

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

10031513414132 is a wasteful number, since it uses less digits than its factorization.

10031513414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396432 (or 396430 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10031513414132 its reverse (23141431513001), we get a palindrome (33172944927133).

The spelling of 10031513414132 in words is "ten trillion, thirty-one billion, five hundred thirteen million, four hundred fourteen thousand, one hundred thirty-two".