1133102120319 has 64 divisors (see below), whose sum is σ = 1911966604800. Its totient is φ = 657462355200.

The previous prime is 1133102120291. The next prime is 1133102120341. The reversal of 1133102120319 is 9130212013311.

1133102120319 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 2 + 12 + 0 + 319 = 666.

It is not a de Polignac number, because 1133102120319 - 2⁵ = 1133102120287 is a prime.

It is a super-2 number, since 2×1133102120319² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1133102120292 and 1133102120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133102120369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004539 + ... + 1809779.

It is an arithmetic number, because the mean of its divisors is an integer number (29874478200).

Almost surely, 2^{1133102120319} is an apocalyptic number.

1133102120319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1133102120319 is a deficient number, since it is larger than the sum of its proper divisors (778864484481).

1133102120319 is a wasteful number, since it uses less digits than its factorization.

1133102120319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805493 (or 805487 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1133102120319 in words is "one trillion, one hundred thirty-three billion, one hundred two million, one hundred twenty thousand, three hundred nineteen".