128137337101 has 8 divisors (see below), whose sum is σ = 131831813880. Its totient is φ = 124455034368.

The previous prime is 128137336997. The next prime is 128137337113. The reversal of 128137337101 is 101733731821.

It can be written as a sum of positive squares in 4 ways, for example, as 19056422025 + 109080915076 = 138045^2 + 330274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 128137337101 - 2⁹ = 128137336589 is a prime.

It is a super-2 number, since 2×128137337101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128137337161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3022156 + ... + 3064261.

It is an arithmetic number, because the mean of its divisors is an integer number (16478976735).

Almost surely, 2^128137337101 is an apocalyptic number.

It is an amenable number.

128137337101 is a deficient number, since it is larger than the sum of its proper divisors (3694476779).

128137337101 is an equidigital number, since it uses as much as digits as its factorization.

128137337101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087023.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 128137337101 in words is "one hundred twenty-eight billion, one hundred thirty-seven million, three hundred thirty-seven thousand, one hundred one".