1013000312000 has 56 divisors (see below), whose sum is σ = 2508695292480. Its totient is φ = 405200121600.

The previous prime is 1013000311997. The next prime is 1013000312041. The reversal of 1013000312000 is 2130003101.

It is a super-2 number, since 2×1013000312000² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 63304520 + ... + 63320519.

Almost surely, 2^{1013000312000} is an apocalyptic number.

1013000312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013000312000 is an abundant number, since it is smaller than the sum of its proper divisors (1495694980480).

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

1013000312000 is an equidigital number, since it uses as much as digits as its factorization.

1013000312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126625066 (or 126625046 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1013000312000 its reverse (2130003101), we get a palindrome (1015130315101).

The spelling of 1013000312000 in words is "one trillion, thirteen billion, three hundred twelve thousand".