331121100331032 has 128 divisors (see below), whose sum is σ = 903943342149120. Its totient is φ = 100241349120000.

The previous prime is 331121100330983. The next prime is 331121100331033. The reversal of 331121100331032 is 230133001121133.

It is a super-3 number, since 3×331121100331032³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331121100330993 and 331121100331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121100331033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238623782 + ... + 1238891082.

It is an arithmetic number, because the mean of its divisors is an integer number (7062057360540).

Almost surely, 2^{331121100331032} is an apocalyptic number.

It is an amenable number.

331121100331032 is an abundant number, since it is smaller than the sum of its proper divisors (572822241818088).

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

331121100331032 is a wasteful number, since it uses less digits than its factorization.

331121100331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271905 (or 271901 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331121100331032 its reverse (230133001121133), we get a palindrome (561254101452165).

The spelling of 331121100331032 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred million, three hundred thirty-one thousand, thirty-two".