1310134421200 has 90 divisors (see below), whose sum is σ = 3459756548822. Its totient is φ = 476412499200.

The previous prime is 1310134421171. The next prime is 1310134421209. The reversal of 1310134421200 is 21244310131.

It can be written as a sum of positive squares in 3 ways, for example, as 2002383504 + 1308132037696 = 44748^2 + 1143736^2 .

It is a super-3 number, since 3×1310134421200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310134421209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13486047 + ... + 13582846.

Almost surely, 2^{1310134421200} is an apocalyptic number.

1310134421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310134421200 is an abundant number, since it is smaller than the sum of its proper divisors (2149622127622).

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

1310134421200 is a wasteful number, since it uses less digits than its factorization.

1310134421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27068933 (or 27068911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1310134421200 its reverse (21244310131), we get a palindrome (1331378731331).

The spelling of 1310134421200 in words is "one trillion, three hundred ten billion, one hundred thirty-four million, four hundred twenty-one thousand, two hundred".