1302113120 has 96 divisors (see below), whose sum is σ = 3835351296. Its totient is φ = 405849600.

The previous prime is 1302113117. The next prime is 1302113167. The reversal of 1302113120 is 213112031.

It is a super-2 number, since 2×1302113120² = 3390997154552268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1302113095 and 1302113104.

It is a congruent number.

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, 40526 + ... + 65165.

It is an arithmetic number, because the mean of its divisors is an integer number (39951576).

Almost surely, 2^1302113120 is an apocalyptic number.

1302113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302113120 is an abundant number, since it is smaller than the sum of its proper divisors (2533238176).

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

1302113120 is a wasteful number, since it uses less digits than its factorization.

1302113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105724 (or 105716 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1302113120 is about 36084.8045581516. The cubic root of 1302113120 is about 1091.9839075929.

Adding to 1302113120 its reverse (213112031), we get a palindrome (1515225151).

It can be divided in two parts, 130211 and 3120, that added together give a palindrome (133331).

The spelling of 1302113120 in words is "one billion, three hundred two million, one hundred thirteen thousand, one hundred twenty".