101313013000 has 64 divisors (see below), whose sum is σ = 251017930800. Its totient is φ = 38141363200.

The previous prime is 101313012991. The next prime is 101313013019. The reversal of 101313013000 is 310313101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23408388004 + 77904624996 = 152998^2 + 279114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962795 + ... + 2996794.

Almost surely, 2^101313013000 is an apocalyptic number.

101313013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313013000 is an abundant number, since it is smaller than the sum of its proper divisors (149704917800).

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

101313013000 is a wasteful number, since it uses less digits than its factorization.

101313013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959627 (or 5959613 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101313013000 its reverse (310313101), we get a palindrome (101623326101).

The spelling of 101313013000 in words is "one hundred one billion, three hundred thirteen million, thirteen thousand".