1313130312200 has 72 divisors (see below), whose sum is σ = 3551481549450. Its totient is φ = 450216103680.

The previous prime is 1313130312101. The next prime is 1313130312287. The reversal of 1313130312200 is 22130313131.

It can be written as a sum of positive squares in 3 ways, for example, as 1113966258916 + 199164053284 = 1055446^2 + 446278^2 .

It is a super-2 number, since 2×1313130312200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66986645 + ... + 67006244.

Almost surely, 2^{1313130312200} is an apocalyptic number.

1313130312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313130312200 is an abundant number, since it is smaller than the sum of its proper divisors (2238351237250).

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

1313130312200 is a wasteful number, since it uses less digits than its factorization.

1313130312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133992919 (or 133992903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1313130312200 its reverse (22130313131), we get a palindrome (1335260625331).

The spelling of 1313130312200 in words is "one trillion, three hundred thirteen billion, one hundred thirty million, three hundred twelve thousand, two hundred".