102031031113133 has 2 divisors, whose sum is σ = 102031031113134. Its totient is φ = 102031031113132.

The previous prime is 102031031113127. The next prime is 102031031113163. The reversal of 102031031113133 is 331311130130201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52593215485924 + 49437815627209 = 7252118^2 + 7031203^2 .

It is a cyclic number.

It is not a de Polignac number, because 102031031113133 - 2⁴ = 102031031113117 is a prime.

It is a super-2 number, since 2×102031031113133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102031031113099 and 102031031113108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102031031113163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51015515556566 + 51015515556567.

It is an arithmetic number, because the mean of its divisors is an integer number (51015515556567).

Almost surely, 2^{102031031113133} is an apocalyptic number.

It is an amenable number.

102031031113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102031031113133 is an equidigital number, since it uses as much as digits as its factorization.

102031031113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 102031031113133 its reverse (331311130130201), we get a palindrome (433342161243334).

The spelling of 102031031113133 in words is "one hundred two trillion, thirty-one billion, thirty-one million, one hundred thirteen thousand, one hundred thirty-three".