1313120090880 has 288 divisors, whose sum is σ = 5018196765120. Its totient is φ = 323229450240.

The previous prime is 1313120090869. The next prime is 1313120090911. The reversal of 1313120090880 is 880900213131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1313120090880³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012081 + ... + 1910640.

Almost surely, 2^{1313120090880} is an apocalyptic number.

1313120090880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313120090880 is an abundant number, since it is smaller than the sum of its proper divisors (3705076674240).

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

1313120090880 is a wasteful number, since it uses less digits than its factorization.

1313120090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922764 (or 2922744 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1313120090880 in words is "one trillion, three hundred thirteen billion, one hundred twenty million, ninety thousand, eight hundred eighty".