10301113012000 has 48 divisors (see below), whose sum is σ = 25309834680312. Its totient is φ = 4120445203200.

The previous prime is 10301113011991. The next prime is 10301113012007. The reversal of 10301113012000 is 21031110301.

It can be written as a sum of positive squares in 4 ways, for example, as 5438541156624 + 4862571855376 = 2332068^2 + 2205124^2 .

It is a super-2 number, since 2×10301113012000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301113012007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1287635127 + ... + 1287643126.

Almost surely, 2^{10301113012000} is an apocalyptic number.

10301113012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301113012000 is an abundant number, since it is smaller than the sum of its proper divisors (15008721668312).

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

10301113012000 is an equidigital number, since it uses as much as digits as its factorization.

10301113012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575278278 (or 2575278260 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10301113012000 its reverse (21031110301), we get a palindrome (10322144122301).

The spelling of 10301113012000 in words is "ten trillion, three hundred one billion, one hundred thirteen million, twelve thousand".