13100020042340 has 384 divisors, whose sum is σ = 35005729554432. Its totient is φ = 3999744000000.

The previous prime is 13100020042337. The next prime is 13100020042381. The reversal of 13100020042340 is 4324002000131.

It is a super-2 number, since 2×13100020042340² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20436848420 + ... + 20436849060.

It is an arithmetic number, because the mean of its divisors is an integer number (91160754048).

Almost surely, 2^{13100020042340} is an apocalyptic number.

13100020042340 is a gapful number since it is divisible by the number (10) 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 13100020042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502864777216).

13100020042340 is an abundant number, since it is smaller than the sum of its proper divisors (21905709512092).

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

13100020042340 is a wasteful number, since it uses less digits than its factorization.

13100020042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13100020042340 its reverse (4324002000131), we get a palindrome (17424022042471).

The spelling of 13100020042340 in words is "thirteen trillion, one hundred billion, twenty million, forty-two thousand, three hundred forty".