331302201131034 has 128 divisors (see below), whose sum is σ = 868018110382080. Its totient is φ = 91686450699072.

The previous prime is 331302201131029. The next prime is 331302201131119. The reversal of 331302201131034 is 430131102203133.

331302201131034 is a `hidden beast` number, since 3 + 3 + 1 + 302 + 2 + 0 + 11 + 310 + 34 = 666.

It is a super-2 number, since 2×331302201131034² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331302201130989 and 331302201131007.

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 63 ways as a sum of consecutive naturals, for example, 49993524 + ... + 56231279.

It is an arithmetic number, because the mean of its divisors is an integer number (6781391487360).

Almost surely, 2^{331302201131034} is an apocalyptic number.

331302201131034 is an abundant number, since it is smaller than the sum of its proper divisors (536715909251046).

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

331302201131034 is a wasteful number, since it uses less digits than its factorization.

331302201131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106225081 (or 106225075 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331302201131034 its reverse (430131102203133), we get a palindrome (761433303334167).

The spelling of 331302201131034 in words is "three hundred thirty-one trillion, three hundred two billion, two hundred one million, one hundred thirty-one thousand, thirty-four".