101333133101123 has 64 divisors (see below), whose sum is σ = 131989152153600. Its totient is φ = 75436864863360.

The previous prime is 101333133101099. The next prime is 101333133101141. The reversal of 101333133101123 is 321101331333101.

It is a de Polignac number, because none of the positive numbers 2^k-101333133101123 is a prime.

It is a super-2 number, since 2×101333133101123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101333133101092 and 101333133101101.

It is not an unprimeable number, because it can be changed into a prime (101333133101323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7659917273 + ... + 7659930501.

It is an arithmetic number, because the mean of its divisors is an integer number (2062330502400).

Almost surely, 2^{101333133101123} is an apocalyptic number.

101333133101123 is a deficient number, since it is larger than the sum of its proper divisors (30656019052477).

101333133101123 is a wasteful number, since it uses less digits than its factorization.

101333133101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 101333133101123 its reverse (321101331333101), we get a palindrome (422434464434224).

The spelling of 101333133101123 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred one thousand, one hundred twenty-three".