31132123002000 has 240 divisors, whose sum is σ = 108770122402032. Its totient is φ = 8299151308800.

The previous prime is 31132123001999. The next prime is 31132123002017. The reversal of 31132123002000 is 20032123113.

31132123002000 is a `hidden beast` number, since 31 + 132 + 1 + 2 + 300 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13454605474704 + 17677517527296 = 3668052^2 + 4204464^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31132123002000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54381252 + ... + 54950748.

Almost surely, 2^{31132123002000} is an apocalyptic number.

31132123002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132123002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54385061201016).

31132123002000 is an abundant number, since it is smaller than the sum of its proper divisors (77637999400032).

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

31132123002000 is a wasteful number, since it uses less digits than its factorization.

31132123002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572563 (or 572544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31132123002000 its reverse (20032123113), we get a palindrome (31152155125113).

The spelling of 31132123002000 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred twenty-three million, two thousand".