1313020310000 has 200 divisors, whose sum is σ = 3668382541824. Its totient is φ = 445805280000.

The previous prime is 1313020309963. The next prime is 1313020310003. The reversal of 1313020310000 is 130203131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1313020310000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313020310003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7118945 + ... + 7301055.

Almost surely, 2^{1313020310000} is an apocalyptic number.

1313020310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313020310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834191270912).

1313020310000 is an abundant number, since it is smaller than the sum of its proper divisors (2355362231824).

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

1313020310000 is a wasteful number, since it uses less digits than its factorization.

1313020310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182249 (or 182228 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1313020310000 its reverse (130203131), we get a palindrome (1313150513131).

The spelling of 1313020310000 in words is "one trillion, three hundred thirteen billion, twenty million, three hundred ten thousand".