2013496531200 has 1296 divisors, whose sum is σ = 9275546743680. Its totient is φ = 418358476800.

The previous prime is 2013496531159. The next prime is 2013496531219. The reversal of 2013496531200 is 21356943102.

2013496531200 is a `hidden beast` number, since 2 + 0 + 1 + 34 + 96 + 531 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146354722 + ... + 146368478.

Almost surely, 2^{2013496531200} is an apocalyptic number.

2013496531200 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 2013496531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637773371840).

2013496531200 is an abundant number, since it is smaller than the sum of its proper divisors (7262050212480).

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

2013496531200 is a wasteful number, since it uses less digits than its factorization.

2013496531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2013496531200 in words is "two trillion, thirteen billion, four hundred ninety-six million, five hundred thirty-one thousand, two hundred".