126013131101 has 48 divisors (see below), whose sum is σ = 155692886400. Its totient is φ = 100910684160.

The previous prime is 126013131061. The next prime is 126013131131. The reversal of 126013131101 is 101131310621.

It is not a de Polignac number, because 126013131101 - 2²² = 126008936797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126013131131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19536725 + ... + 19543173.

It is an arithmetic number, because the mean of its divisors is an integer number (3243601800).

Almost surely, 2^126013131101 is an apocalyptic number.

126013131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126013131101 is a deficient number, since it is larger than the sum of its proper divisors (29679755299).

126013131101 is a wasteful number, since it uses less digits than its factorization.

126013131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 126013131101 its reverse (101131310621), we get a palindrome (227144441722).

The spelling of 126013131101 in words is "one hundred twenty-six billion, thirteen million, one hundred thirty-one thousand, one hundred one".