1310271028920 has 576 divisors, whose sum is σ = 5034481452000. Its totient is φ = 294642302976.

The previous prime is 1310271028897. The next prime is 1310271028999. The reversal of 1310271028920 is 298201720131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277069116 + ... + 277073844.

Almost surely, 2^{1310271028920} is an apocalyptic number.

1310271028920 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 1310271028920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517240726000).

1310271028920 is an abundant number, since it is smaller than the sum of its proper divisors (3724210423080).

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

1310271028920 is a wasteful number, since it uses less digits than its factorization.

1310271028920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1310271028920 in words is "one trillion, three hundred ten billion, two hundred seventy-one million, twenty-eight thousand, nine hundred twenty".