101013201133032 has 64 divisors (see below), whose sum is σ = 255733581312000. Its totient is φ = 33244336442304.

The previous prime is 101013201133007. The next prime is 101013201133037. The reversal of 101013201133032 is 230331102310101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101013201133037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133600069 + ... + 134354027.

It is an arithmetic number, because the mean of its divisors is an integer number (3995837208000).

Almost surely, 2^{101013201133032} is an apocalyptic number.

101013201133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013201133032 is an abundant number, since it is smaller than the sum of its proper divisors (154720380178968).

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

101013201133032 is a wasteful number, since it uses less digits than its factorization.

101013201133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824710 (or 824706 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101013201133032 its reverse (230331102310101), we get a palindrome (331344303443133).

The spelling of 101013201133032 in words is "one hundred one trillion, thirteen billion, two hundred one million, one hundred thirty-three thousand, thirty-two".