2113513412340 has 192 divisors, whose sum is σ = 6558298306560. Its totient is φ = 504259392000.

The previous prime is 2113513412333. The next prime is 2113513412359. The reversal of 2113513412340 is 432143153112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2113513412298 and 2113513412307.

It is a congruent number.

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, 26717566 + ... + 26796554.

It is an arithmetic number, because the mean of its divisors is an integer number (34157803680).

Almost surely, 2^{2113513412340} is an apocalyptic number.

2113513412340 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 2113513412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279149153280).

2113513412340 is an abundant number, since it is smaller than the sum of its proper divisors (4444784894220).

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

2113513412340 is a wasteful number, since it uses less digits than its factorization.

2113513412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79654 (or 79652 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 2113513412340 its reverse (432143153112), we get a palindrome (2545656565452).

The spelling of 2113513412340 in words is "two trillion, one hundred thirteen billion, five hundred thirteen million, four hundred twelve thousand, three hundred forty".