101310013201000 has 64 divisors (see below), whose sum is σ = 237837631711680. Its totient is φ = 40392005140800.

The previous prime is 101310013200953. The next prime is 101310013201009. The reversal of 101310013201000 is 102310013101.

It is not an unprimeable number, because it can be changed into a prime (101310013201009) 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, 164693022 + ... + 165307021.

It is an arithmetic number, because the mean of its divisors is an integer number (3716212995495).

Almost surely, 2^{101310013201000} is an apocalyptic number.

101310013201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310013201000 is an abundant number, since it is smaller than the sum of its proper divisors (136527618510680).

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

101310013201000 is a wasteful number, since it uses less digits than its factorization.

101310013201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330000371 (or 330000357 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101310013201000 its reverse (102310013101), we get a palindrome (101412323214101).

The spelling of 101310013201000 in words is "one hundred one trillion, three hundred ten billion, thirteen million, two hundred one thousand".