10310122132000 has 48 divisors (see below), whose sum is σ = 25331970088152. Its totient is φ = 4124048851200.

The previous prime is 10310122131979. The next prime is 10310122132021. The reversal of 10310122132000 is 23122101301.

It is an interprime number because it is at equal distance from previous prime (10310122131979) and next prime (10310122132021).

It can be written as a sum of positive squares in 4 ways, for example, as 6546413491216 + 3763708640784 = 2558596^2 + 1940028^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288761267 + ... + 1288769266.

Almost surely, 2^{10310122132000} is an apocalyptic number.

10310122132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310122132000 is an abundant number, since it is smaller than the sum of its proper divisors (15021847956152).

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

10310122132000 is an equidigital number, since it uses as much as digits as its factorization.

10310122132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577530558 (or 2577530540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10310122132000 its reverse (23122101301), we get a palindrome (10333244233301).

The spelling of 10310122132000 in words is "ten trillion, three hundred ten billion, one hundred twenty-two million, one hundred thirty-two thousand".