1310105991600 has 1080 divisors, whose sum is σ = 5497220631552. Its totient is φ = 282741580800.

The previous prime is 1310105991599. The next prime is 1310105991637. The reversal of 1310105991600 is 61995010131.

It is a happy number.

1310105991600 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 0 + 599 + 1 + 60 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 1444438347 + ... + 1444439253.

Almost surely, 2^{1310105991600} is an apocalyptic number.

1310105991600 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 1310105991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748610315776).

1310105991600 is an abundant number, since it is smaller than the sum of its proper divisors (4187114639952).

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

1310105991600 is a wasteful number, since it uses less digits than its factorization.

1310105991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 1310105991600 in words is "one trillion, three hundred ten billion, one hundred five million, nine hundred ninety-one thousand, six hundred".