31301132130000 has 250 divisors, whose sum is σ = 113206962077594. Its totient is φ = 8346968352000.

The previous prime is 31301132129999. The next prime is 31301132130001. The reversal of 31301132130000 is 3123110313.

It is a happy number.

31301132130000 is a `hidden beast` number, since 3 + 1 + 30 + 11 + 321 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31301132129999) and next prime (31301132130001).

It can be written as a sum of positive squares in 5 ways, for example, as 6570363345984 + 24730768784016 = 2563272^2 + 4973004^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31301132130001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 18511687 + ... + 20131686.

Almost surely, 2^{31301132130000} is an apocalyptic number.

31301132130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31301132130000 is an abundant number, since it is smaller than the sum of its proper divisors (81905829947594).

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

31301132130000 is an equidigital number, since it uses as much as digits as its factorization.

31301132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38643413 (or 38643383 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31301132130000 its reverse (3123110313), we get a palindrome (31304255240313).

The spelling of 31301132130000 in words is "thirty-one trillion, three hundred one billion, one hundred thirty-two million, one hundred thirty thousand".