1310505505400 has 96 divisors (see below), whose sum is σ = 3750061959840. Its totient is φ = 414753384960.

The previous prime is 1310505505369. The next prime is 1310505505409. The reversal of 1310505505400 is 45055050131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310505505409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35984699 + ... + 36021098.

It is an arithmetic number, because the mean of its divisors is an integer number (39063145415).

Almost surely, 2^{1310505505400} is an apocalyptic number.

1310505505400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310505505400 is an abundant number, since it is smaller than the sum of its proper divisors (2439556454440).

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

1310505505400 is a wasteful number, since it uses less digits than its factorization.

1310505505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72005833 (or 72005824 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 1310505505400 in words is "one trillion, three hundred ten billion, five hundred five million, five hundred five thousand, four hundred".