1307061413200 has 30 divisors (see below), whose sum is σ = 3140215046174. Its totient is φ = 522824565120.

The previous prime is 1307061413191. The next prime is 1307061413201. The reversal of 1307061413200 is 23141607031.

It can be written as a sum of positive squares in 3 ways, for example, as 315547333696 + 991514079504 = 561736^2 + 995748^2 .

It is a super-2 number, since 2×1307061413200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307061413201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1633826367 + ... + 1633827166.

Almost surely, 2^{1307061413200} is an apocalyptic number.

1307061413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307061413200 is an abundant number, since it is smaller than the sum of its proper divisors (1833153632974).

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

1307061413200 is a wasteful number, since it uses less digits than its factorization.

1307061413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267653551 (or 3267653540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 1307061413200 in words is "one trillion, three hundred seven billion, sixty-one million, four hundred thirteen thousand, two hundred".