1002123313131 has 16 divisors (see below), whose sum is σ = 1371308762880. Its totient is φ = 650736774240.

The previous prime is 1002123313129. The next prime is 1002123313141. The reversal of 1002123313131 is 1313133212001.

It is a happy number.

It is not a de Polignac number, because 1002123313131 - 2¹ = 1002123313129 is a prime.

It is a super-2 number, since 2×1002123313131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002123313098 and 1002123313107.

It is not an unprimeable number, because it can be changed into a prime (1002123313141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28324516 + ... + 28359873.

It is an arithmetic number, because the mean of its divisors is an integer number (85706797680).

Almost surely, 2^{1002123313131} is an apocalyptic number.

1002123313131 is a deficient number, since it is larger than the sum of its proper divisors (369185449749).

1002123313131 is an equidigital number, since it uses as much as digits as its factorization.

1002123313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56684546.

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

Adding to 1002123313131 its reverse (1313133212001), we get a palindrome (2315256525132).

The spelling of 1002123313131 in words is "one trillion, two billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-one".