10001012013032 has 64 divisors (see below), whose sum is σ = 20540425726800. Its totient is φ = 4543888527360.

The previous prime is 10001012013019. The next prime is 10001012013059. The reversal of 10001012013032 is 23031021010001.

It can be written as a sum of positive squares in 8 ways, for example, as 6997008974596 + 3004003038436 = 2645186^2 + 1733206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001012012998 and 10001012013016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175609682 + ... + 175666622.

Almost surely, 2^{10001012013032} is an apocalyptic number.

It is an amenable number.

10001012013032 is an abundant number, since it is smaller than the sum of its proper divisors (10539413713768).

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

10001012013032 is a wasteful number, since it uses less digits than its factorization.

10001012013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101526 (or 101522 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001012013032 its reverse (23031021010001), we get a palindrome (33032033023033).

The spelling of 10001012013032 in words is "ten trillion, one billion, twelve million, thirteen thousand, thirty-two".