312220010001300 has 144 divisors (see below), whose sum is σ = 904117578104832. Its totient is φ = 83188554019200.

The previous prime is 312220010001299. The next prime is 312220010001371. The reversal of 312220010001300 is 3100010022213.

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 312220010001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2130728637 + ... + 2130875163.

Almost surely, 2^{312220010001300} is an apocalyptic number.

312220010001300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312220010001300 is an abundant number, since it is smaller than the sum of its proper divisors (591897568103532).

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

312220010001300 is a wasteful number, since it uses less digits than its factorization.

312220010001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152478 (or 152471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312220010001300 its reverse (3100010022213), we get a palindrome (315320020023513).

The spelling of 312220010001300 in words is "three hundred twelve trillion, two hundred twenty billion, ten million, one thousand, three hundred".