1302313120000 has 90 divisors (see below), whose sum is σ = 3248384432678. Its totient is φ = 520925184000.

The previous prime is 1302313119973. The next prime is 1302313120027. The reversal of 1302313120000 is 213132031.

It is an interprime number because it is at equal distance from previous prime (1302313119973) and next prime (1302313120027).

It can be written as a sum of positive squares in 5 ways, for example, as 404882780416 + 897430339584 = 636304^2 + 947328^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3909729 + ... + 4229728.

Almost surely, 2^{1302313120000} is an apocalyptic number.

1302313120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302313120000 is an abundant number, since it is smaller than the sum of its proper divisors (1946071312678).

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

1302313120000 is an frugal number, since it uses more digits than its factorization.

1302313120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139493 (or 8139464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1302313120000 its reverse (213132031), we get a palindrome (1302526252031).

The spelling of 1302313120000 in words is "one trillion, three hundred two billion, three hundred thirteen million, one hundred twenty thousand".