1013033130120 has 128 divisors (see below), whose sum is σ = 3683756880000. Its totient is φ = 245583786240.

The previous prime is 1013033130113. The next prime is 1013033130143. The reversal of 1013033130120 is 210313303101.

It is a happy number.

1013033130120 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 331 + 301 + 2 + 0 = 666.

It is a super-2 number, since 2×1013033130120² (a number of 25 digits) contains 22 as substring.

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 = 1013033130093 and 1013033130102.

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 31 ways as a sum of consecutive naturals, for example, 42624195 + ... + 42647954.

It is an arithmetic number, because the mean of its divisors is an integer number (28779350625).

Almost surely, 2^{1013033130120} is an apocalyptic number.

1013033130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013033130120 is an abundant number, since it is smaller than the sum of its proper divisors (2670723749880).

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

1013033130120 is a wasteful number, since it uses less digits than its factorization.

1013033130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85272180 (or 85272170 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013033130120 its reverse (210313303101), we get a palindrome (1223346433221).

The spelling of 1013033130120 in words is "one trillion, thirteen billion, thirty-three million, one hundred thirty thousand, one hundred twenty".