311200013102100 has 144 divisors (see below), whose sum is σ = 907978364373696. Its totient is φ = 82289675520000.

The previous prime is 311200013102053. The next prime is 311200013102107. The reversal of 311200013102100 is 1201310002113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 311200013102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311200013102107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47919450 + ... + 54024750.

Almost surely, 2^{311200013102100} is an apocalyptic number.

311200013102100 is a gapful number since it is divisible by the number (30) 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 311200013102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453989182186848).

311200013102100 is an abundant number, since it is smaller than the sum of its proper divisors (596778351271596).

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

311200013102100 is a wasteful number, since it uses less digits than its factorization.

311200013102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106746 (or 6106739 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 311200013102100 its reverse (1201310002113), we get a palindrome (312401323104213).

The spelling of 311200013102100 in words is "three hundred eleven trillion, two hundred billion, thirteen million, one hundred two thousand, one hundred".