3132013200000 has 384 divisors, whose sum is σ = 10945971288000. Its totient is φ = 791239680000.

The previous prime is 3132013199993. The next prime is 3132013200007. The reversal of 3132013200000 is 23102313.

It is an interprime number because it is at equal distance from previous prime (3132013199993) and next prime (3132013200007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3132013200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22731316 + ... + 22868684.

Almost surely, 2^{3132013200000} is an apocalyptic number.

3132013200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472985644000).

3132013200000 is an abundant number, since it is smaller than the sum of its proper divisors (7813958088000).

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

3132013200000 is an equidigital number, since it uses as much as digits as its factorization.

3132013200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137430 (or 137398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3132013200000 its reverse (23102313), we get a palindrome (3132036302313).

The spelling of 3132013200000 in words is "three trillion, one hundred thirty-two billion, thirteen million, two hundred thousand".