1013012233120 has 96 divisors (see below), whose sum is σ = 2439374026320. Its totient is φ = 397431767040.

The previous prime is 1013012233109. The next prime is 1013012233171. The reversal of 1013012233120 is 213322103101.

It can be written as a sum of positive squares in 8 ways, for example, as 132650380944 + 880361852176 = 364212^2 + 938276^2 .

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, 3298266 + ... + 3592294.

Almost surely, 2^{1013012233120} is an apocalyptic number.

1013012233120 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 1013012233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219687013160).

1013012233120 is an abundant number, since it is smaller than the sum of its proper divisors (1426361793200).

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

1013012233120 is a wasteful number, since it uses less digits than its factorization.

1013012233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294458 (or 294450 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1013012233120 its reverse (213322103101), we get a palindrome (1226334336221).

The spelling of 1013012233120 in words is "one trillion, thirteen billion, twelve million, two hundred thirty-three thousand, one hundred twenty".