10111002133323 has 64 divisors (see below), whose sum is σ = 17467733928960. Its totient is φ = 5051988361728.

The previous prime is 10111002133319. The next prime is 10111002133339. The reversal of 10111002133323 is 32333120011101.

It is a happy number.

It is not a de Polignac number, because 10111002133323 - 2² = 10111002133319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10111002133323.

It is not an unprimeable number, because it can be changed into a prime (10111002133343) 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 63 ways as a sum of consecutive naturals, for example, 46226365 + ... + 46444577.

It is an arithmetic number, because the mean of its divisors is an integer number (272933342640).

Almost surely, 2^{10111002133323} is an apocalyptic number.

10111002133323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10111002133323 is a deficient number, since it is larger than the sum of its proper divisors (7356731795637).

10111002133323 is a wasteful number, since it uses less digits than its factorization.

10111002133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227188.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10111002133323 its reverse (32333120011101), we get a palindrome (42444122144424).

The spelling of 10111002133323 in words is "ten trillion, one hundred eleven billion, two million, one hundred thirty-three thousand, three hundred twenty-three".