31413152233000 has 32 divisors (see below), whose sum is σ = 73506776227560. Its totient is φ = 12565260892800.

The previous prime is 31413152232971. The next prime is 31413152233009. The reversal of 31413152233000 is 33225131413.

It can be written as a sum of positive squares in 4 ways, for example, as 7092730115524 + 24320422117476 = 2663218^2 + 4931574^2 .

It is a super-2 number, since 2×31413152233000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31413152233000.

It is not an unprimeable number, because it can be changed into a prime (31413152233009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15706575117 + ... + 15706577116.

Almost surely, 2^{31413152233000} is an apocalyptic number.

It is an amenable number.

31413152233000 is an abundant number, since it is smaller than the sum of its proper divisors (42093623994560).

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

31413152233000 is a wasteful number, since it uses less digits than its factorization.

31413152233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31413152254 (or 31413152240 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 31413152233000 its reverse (33225131413), we get a palindrome (31446377364413).

The spelling of 31413152233000 in words is "thirty-one trillion, four hundred thirteen billion, one hundred fifty-two million, two hundred thirty-three thousand".