2133736101 has 48 divisors (see below), whose sum is σ = 3662515584. Its totient is φ = 1216041984.

The previous prime is 2133736097. The next prime is 2133736109. The reversal of 2133736101 is 1016373312.

2133736101 is a `hidden beast` number, since 2 + 13 + 37 + 3 + 610 + 1 = 666.

It is not a de Polignac number, because 2133736101 - 2² = 2133736097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133736109) 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 47 ways as a sum of consecutive naturals, for example, 735085 + ... + 737981.

It is an arithmetic number, because the mean of its divisors is an integer number (76302408).

Almost surely, 2^2133736101 is an apocalyptic number.

2133736101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2133736101 is a deficient number, since it is larger than the sum of its proper divisors (1528779483).

2133736101 is an equidigital number, since it uses as much as digits as its factorization.

2133736101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2133736101 is about 46192.3814172857. The cubic root of 2133736101 is about 1287.4001885235.

The spelling of 2133736101 in words is "two billion, one hundred thirty-three million, seven hundred thirty-six thousand, one hundred one".