31004353124745 has 384 divisors, whose sum is σ = 68737572933120. Its totient is φ = 11827188172800.

The previous prime is 31004353124663. The next prime is 31004353124747. The reversal of 31004353124745 is 54742135340013.

It is not a de Polignac number, because 31004353124745 - 2⁹ = 31004353124233 is a prime.

It is a super-2 number, since 2×31004353124745² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31004353124697 and 31004353124706.

It is not an unprimeable number, because it can be changed into a prime (31004353124747) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2301897871 + ... + 2301911339.

It is an arithmetic number, because the mean of its divisors is an integer number (179004096180).

Almost surely, 2^{31004353124745} is an apocalyptic number.

31004353124745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31004353124745 is an abundant number, since it is smaller than the sum of its proper divisors (37733219808375).

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

31004353124745 is a wasteful number, since it uses less digits than its factorization.

31004353124745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

Adding to 31004353124745 its reverse (54742135340013), we get a palindrome (85746488464758).

The spelling of 31004353124745 in words is "thirty-one trillion, four billion, three hundred fifty-three million, one hundred twenty-four thousand, seven hundred forty-five".