1013102033312 has 96 divisors (see below), whose sum is σ = 2208140766720. Its totient is φ = 455647196160.

The previous prime is 1013102033297. The next prime is 1013102033327. The reversal of 1013102033312 is 2133302013101.

1013102033312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013102033297) and next prime (1013102033327).

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, 491858 + ... + 1506030.

It is an arithmetic number, because the mean of its divisors is an integer number (23001466320).

Almost surely, 2^{1013102033312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013102033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104070383360).

1013102033312 is an abundant number, since it is smaller than the sum of its proper divisors (1195038733408).

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

1013102033312 is a wasteful number, since it uses less digits than its factorization.

1013102033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014286 (or 1014278 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1013102033312 its reverse (2133302013101), we get a palindrome (3146404046413).

The spelling of 1013102033312 in words is "one trillion, thirteen billion, one hundred two million, thirty-three thousand, three hundred twelve".