1013312101123 has 16 divisors (see below), whose sum is σ = 1195737432064. Its totient is φ = 840317885280.

The previous prime is 1013312101099. The next prime is 1013312101127. The reversal of 1013312101123 is 3211012133101.

It is a cyclic number.

It is not a de Polignac number, because 1013312101123 - 2¹³ = 1013312092931 is a prime.

It is a super-3 number, since 3×1013312101123³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1013312101123.

It is not an unprimeable number, because it can be changed into a prime (1013312101127) 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 15 ways as a sum of consecutive naturals, for example, 239086 + ... + 1443532.

It is an arithmetic number, because the mean of its divisors is an integer number (74733589504).

Almost surely, 2^{1013312101123} is an apocalyptic number.

1013312101123 is a deficient number, since it is larger than the sum of its proper divisors (182425330941).

1013312101123 is a wasteful number, since it uses less digits than its factorization.

1013312101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208362.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1013312101123 its reverse (3211012133101), we get a palindrome (4224324234224).

The spelling of 1013312101123 in words is "one trillion, thirteen billion, three hundred twelve million, one hundred one thousand, one hundred twenty-three".