1131312310002 has 224 divisors, whose sum is σ = 3069200661120. Its totient is φ = 305379383040.

The previous prime is 1131312309977. The next prime is 1131312310003. The reversal of 1131312310002 is 2000132131311.

1131312310002 is a `hidden beast` number, since 11 + 31 + 312 + 310 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1131312310002² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1131312310003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 72322102 + ... + 72337742.

Almost surely, 2^{1131312310002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131312310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534600330560).

1131312310002 is an abundant number, since it is smaller than the sum of its proper divisors (1937888351118).

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

1131312310002 is a wasteful number, since it uses less digits than its factorization.

1131312310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131312310002 its reverse (2000132131311), we get a palindrome (3131444441313).

The spelling of 1131312310002 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, three hundred ten thousand, two".