31002123133002 has 32 divisors (see below), whose sum is σ = 70871468713344. Its totient is φ = 8856565344000.

The previous prime is 31002123132989. The next prime is 31002123133019. The reversal of 31002123133002 is 20033132120013.

It is a super-2 number, since 2×31002123133002² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 31002123133002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49020499 + ... + 49648902.

It is an arithmetic number, because the mean of its divisors is an integer number (2214733397292).

Almost surely, 2^{31002123133002} is an apocalyptic number.

31002123133002 is an abundant number, since it is smaller than the sum of its proper divisors (39869345580342).

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

31002123133002 is a wasteful number, since it uses less digits than its factorization.

31002123133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98676894.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31002123133002 its reverse (20033132120013), we get a palindrome (51035255253015).

The spelling of 31002123133002 in words is "thirty-one trillion, two billion, one hundred twenty-three million, one hundred thirty-three thousand, two".