3001131313432 has 64 divisors (see below), whose sum is σ = 6439675115520. Its totient is φ = 1284464087808.

The previous prime is 3001131313423. The next prime is 3001131313463. The reversal of 3001131313432 is 2343131311003.

It is a junction number, because it is equal to n+sod(n) for n = 3001131313397 and 3001131313406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254176473 + ... + 254188279.

It is an arithmetic number, because the mean of its divisors is an integer number (100619923680).

Almost surely, 2^{3001131313432} is an apocalyptic number.

It is an amenable number.

3001131313432 is an abundant number, since it is smaller than the sum of its proper divisors (3438543802088).

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

3001131313432 is a wasteful number, since it uses less digits than its factorization.

3001131313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3001131313432 its reverse (2343131311003), we get a palindrome (5344262624435).

The spelling of 3001131313432 in words is "three trillion, one billion, one hundred thirty-one million, three hundred thirteen thousand, four hundred thirty-two".