101013213000 has 128 divisors (see below), whose sum is σ = 360184331520. Its totient is φ = 23088729600.

The previous prime is 101013212957. The next prime is 101013213017. The reversal of 101013213000 is 312310101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 2384077 + ... + 2426076.

It is an arithmetic number, because the mean of its divisors is an integer number (2813940090).

Almost surely, 2^101013213000 is an apocalyptic number.

101013213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013213000 is an abundant number, since it is smaller than the sum of its proper divisors (259171118520).

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

101013213000 is a wasteful number, since it uses less digits than its factorization.

101013213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810184 (or 4810170 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101013213000 its reverse (312310101), we get a palindrome (101325523101).

The spelling of 101013213000 in words is "one hundred one billion, thirteen million, two hundred thirteen thousand".