2131434343200 has 288 divisors, whose sum is σ = 7435131371136. Its totient is φ = 528975912960.

The previous prime is 2131434343067. The next prime is 2131434343249. The reversal of 2131434343200 is 23434341312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520604 + ... + 2564196.

It is an arithmetic number, because the mean of its divisors is an integer number (25816428372).

Almost surely, 2^{2131434343200} is an apocalyptic number.

2131434343200 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 2131434343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717565685568).

2131434343200 is an abundant number, since it is smaller than the sum of its proper divisors (5303697027936).

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

2131434343200 is a wasteful number, since it uses less digits than its factorization.

2131434343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043676 (or 1043663 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2131434343200 its reverse (23434341312), we get a palindrome (2154868684512).

The spelling of 2131434343200 in words is "two trillion, one hundred thirty-one billion, four hundred thirty-four million, three hundred forty-three thousand, two hundred".