126513101 has 16 divisors (see below), whose sum is σ = 152654208. Its totient is φ = 103291200.

The previous prime is 126513097. The next prime is 126513113. The reversal of 126513101 is 101315621.

It is a cyclic number.

It is not a de Polignac number, because 126513101 - 2² = 126513097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126513151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6665 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (9540888).

Almost surely, 2^126513101 is an apocalyptic number.

126513101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126513101 is a deficient number, since it is larger than the sum of its proper divisors (26141107).

126513101 is a wasteful number, since it uses less digits than its factorization.

126513101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 126513101 is about 11247.8042746129. The cubic root of 126513101 is about 502.0093819509.

Adding to 126513101 its reverse (101315621), we get a palindrome (227828722).

The spelling of 126513101 in words is "one hundred twenty-six million, five hundred thirteen thousand, one hundred one".