1023213131117 has 2 divisors, whose sum is σ = 1023213131118. Its totient is φ = 1023213131116.

The previous prime is 1023213131111. The next prime is 1023213131123. The reversal of 1023213131117 is 7111313123201.

It is a balanced prime because it is at equal distance from previous prime (1023213131111) and next prime (1023213131123).

It can be written as a sum of positive squares in only one way, i.e., 819397902436 + 203815228681 = 905206^2 + 451459^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023213131117 - 2¹⁸ = 1023212868973 is a prime.

It is a super-2 number, since 2×1023213131117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023213131111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511606565558 + 511606565559.

It is an arithmetic number, because the mean of its divisors is an integer number (511606565559).

Almost surely, 2^{1023213131117} is an apocalyptic number.

It is an amenable number.

1023213131117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023213131117 is an equidigital number, since it uses as much as digits as its factorization.

1023213131117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 1023213131117 its reverse (7111313123201), we get a palindrome (8134526254318).

The spelling of 1023213131117 in words is "one trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred seventeen".