13405422122100 has 54 divisors (see below), whose sum is σ = 42018550898870. Its totient is φ = 3574779232320.

The previous prime is 13405422122051. The next prime is 13405422122149. The reversal of 13405422122100 is 122122450431.

13405422122100 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 542 + 2 + 12 + 2 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (13405422122051) and next prime (13405422122149).

It can be written as a sum of positive squares in 3 ways, for example, as 3494372216976 + 9911049905124 = 1869324^2 + 3148182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7447455835 + ... + 7447457634.

Almost surely, 2^{13405422122100} is an apocalyptic number.

13405422122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405422122100 is an abundant number, since it is smaller than the sum of its proper divisors (28613128776770).

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

13405422122100 is a wasteful number, since it uses less digits than its factorization.

13405422122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14894913489 (or 14894913479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13405422122100 its reverse (122122450431), we get a palindrome (13527544572531).

The spelling of 13405422122100 in words is "thirteen trillion, four hundred five billion, four hundred twenty-two million, one hundred twenty-two thousand, one hundred".