1313401102120 has 64 divisors (see below), whose sum is σ = 3129168834000. Its totient is φ = 494427832320.

The previous prime is 1313401102093. The next prime is 1313401102141. The reversal of 1313401102120 is 212011043131.

It can be written as a sum of positive squares in 8 ways, for example, as 1297143322084 + 16257780036 = 1138922^2 + 127506^2 .

It is a super-3 number, since 3×1313401102120³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14131000 + ... + 14223640.

Almost surely, 2^{1313401102120} is an apocalyptic number.

1313401102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313401102120 is an abundant number, since it is smaller than the sum of its proper divisors (1815767731880).

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

1313401102120 is a wasteful number, since it uses less digits than its factorization.

1313401102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113518 (or 113514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1313401102120 its reverse (212011043131), we get a palindrome (1525412145251).

The spelling of 1313401102120 in words is "one trillion, three hundred thirteen billion, four hundred one million, one hundred two thousand, one hundred twenty".