331400231133000 has 256 divisors, whose sum is σ = 1070050854412800. Its totient is φ = 85291890969600.

The previous prime is 331400231132939. The next prime is 331400231133011. The reversal of 331400231133000 is 331132004133.

It is a happy number.

It is a super-2 number, since 2×331400231133000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217000074 + ... + 218521926.

It is an arithmetic number, because the mean of its divisors is an integer number (4179886150050).

Almost surely, 2^{331400231133000} is an apocalyptic number.

331400231133000 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 331400231133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535025427206400).

331400231133000 is an abundant number, since it is smaller than the sum of its proper divisors (738650623279800).

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

331400231133000 is a wasteful number, since it uses less digits than its factorization.

331400231133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524409 (or 1524395 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331400231133000 its reverse (331132004133), we get a palindrome (331731363137133).

The spelling of 331400231133000 in words is "three hundred thirty-one trillion, four hundred billion, two hundred thirty-one million, one hundred thirty-three thousand".