1310010010000 has 100 divisors (see below), whose sum is σ = 3231509282892. Its totient is φ = 514116928000.

The previous prime is 1310010009977. The next prime is 1310010010033. The reversal of 1310010010000 is 100100131.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1035379511296 + 274630498704 = 1017536^2 + 524052^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1310010010000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 705859 + ... + 1765858.

Almost surely, 2^{1310010010000} is an apocalyptic number.

1310010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310010010000 is an abundant number, since it is smaller than the sum of its proper divisors (1921499272892).

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

1310010010000 is an equidigital number, since it uses as much as digits as its factorization.

1310010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471798 (or 2471777 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1310010010000 its reverse (100100131), we get a palindrome (1310110110131).

The spelling of 1310010010000 in words is "one trillion, three hundred ten billion, ten million, ten thousand".