33214312131000 has 1024 divisors, whose sum is σ = 139340346163200. Its totient is φ = 6361502976000.

The previous prime is 33214312130981. The next prime is 33214312131017. The reversal of 33214312131000 is 13121341233.

It is a super-2 number, since 2×33214312131000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2159149309 + ... + 2159164691.

It is an arithmetic number, because the mean of its divisors is an integer number (136074556800).

Almost surely, 2^{33214312131000} is an apocalyptic number.

33214312131000 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 33214312131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69670173081600).

33214312131000 is an abundant number, since it is smaller than the sum of its proper divisors (106126034032200).

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

33214312131000 is a wasteful number, since it uses less digits than its factorization.

33214312131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16157 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 33214312131000 its reverse (13121341233), we get a palindrome (33227433472233).

The spelling of 33214312131000 in words is "thirty-three trillion, two hundred fourteen billion, three hundred twelve million, one hundred thirty-one thousand".