1012213201320 has 96 divisors (see below), whose sum is σ = 3290721805800. Its totient is φ = 269839097856.

The previous prime is 1012213201309. The next prime is 1012213201331. The reversal of 1012213201320 is 231023122101.

1012213201320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 21 + 320 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1012213201309) and next prime (1012213201331).

It can be written as a sum of positive squares in 4 ways, for example, as 994635214596 + 17577986724 = 997314^2 + 132582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012213201293 and 1012213201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717144 + ... + 1593336.

Almost surely, 2^{1012213201320} is an apocalyptic number.

1012213201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012213201320 is an abundant number, since it is smaller than the sum of its proper divisors (2278508604480).

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

1012213201320 is a wasteful number, since it uses less digits than its factorization.

1012213201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879419 (or 879412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012213201320 its reverse (231023122101), we get a palindrome (1243236323421).

The spelling of 1012213201320 in words is "one trillion, twelve billion, two hundred thirteen million, two hundred one thousand, three hundred twenty".