1313401153040 has 40 divisors (see below), whose sum is σ = 3056441529240. Its totient is φ = 524881519616.

The previous prime is 1313401153033. The next prime is 1313401153049. The reversal of 1313401153040 is 403511043131.

It can be written as a sum of positive squares in 4 ways, for example, as 3264522496 + 1310136630544 = 57136^2 + 1144612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1313401153049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7395155 + ... + 7570674.

It is an arithmetic number, because the mean of its divisors is an integer number (76411038231).

Almost surely, 2^{1313401153040} is an apocalyptic number.

1313401153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313401153040 is an abundant number, since it is smaller than the sum of its proper divisors (1743040376200).

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

1313401153040 is a wasteful number, since it uses less digits than its factorization.

1313401153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966939 (or 14966933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1313401153040 its reverse (403511043131), we get a palindrome (1716912196171).

The spelling of 1313401153040 in words is "one trillion, three hundred thirteen billion, four hundred one million, one hundred fifty-three thousand, forty".