101013320112032 has 48 divisors (see below), whose sum is σ = 199000868019912. Its totient is φ = 50473421905920.

The previous prime is 101013320112017. The next prime is 101013320112041. The reversal of 101013320112032 is 230211023310101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95139657649936 + 5873662462096 = 9753956^2 + 2423564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101013320111995 and 101013320112013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752859032 + ... + 752993192.

Almost surely, 2^{101013320112032} is an apocalyptic number.

It is an amenable number.

101013320112032 is a deficient number, since it is larger than the sum of its proper divisors (97987547907880).

101013320112032 is a wasteful number, since it uses less digits than its factorization.

101013320112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149481 (or 149473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101013320112032 its reverse (230211023310101), we get a palindrome (331224343422133).

The spelling of 101013320112032 in words is "one hundred one trillion, thirteen billion, three hundred twenty million, one hundred twelve thousand, thirty-two".