101313412000 has 96 divisors (see below), whose sum is σ = 249130365120. Its totient is φ = 40492268800.

The previous prime is 101313411967. The next prime is 101313412033. The reversal of 101313412000 is 214313101.

It is an interprime number because it is at equal distance from previous prime (101313411967) and next prime (101313412033).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5218311 + ... + 5237689.

It is an arithmetic number, because the mean of its divisors is an integer number (2595107970).

Almost surely, 2^101313412000 is an apocalyptic number.

101313412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124565182560).

101313412000 is an abundant number, since it is smaller than the sum of its proper divisors (147816953120).

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

101313412000 is a wasteful number, since it uses less digits than its factorization.

101313412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101313412000 its reverse (214313101), we get a palindrome (101527725101).

The spelling of 101313412000 in words is "one hundred one billion, three hundred thirteen million, four hundred twelve thousand".