2133431300000 has 576 divisors, whose sum is σ = 7049154325248. Its totient is φ = 613785600000.

The previous prime is 2133431299943. The next prime is 2133431300051. The reversal of 2133431300000 is 31343312.

It is a super-2 number, since 2×2133431300000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100089344 + ... + 100110656.

It is an arithmetic number, because the mean of its divisors is an integer number (12238115148).

Almost surely, 2^{2133431300000} is an apocalyptic number.

2133431300000 is a gapful number since it is divisible by the number (20) 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 2133431300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524577162624).

2133431300000 is an abundant number, since it is smaller than the sum of its proper divisors (4915723025248).

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

2133431300000 is a wasteful number, since it uses less digits than its factorization.

2133431300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2133431300000 its reverse (31343312), we get a palindrome (2133462643312).

The spelling of 2133431300000 in words is "two trillion, one hundred thirty-three billion, four hundred thirty-one million, three hundred thousand".