10200100311131 has 2 divisors, whose sum is σ = 10200100311132. Its totient is φ = 10200100311130.

The previous prime is 10200100311061. The next prime is 10200100311151. The reversal of 10200100311131 is 13111300100201.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13111300100201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200100311131 is a prime.

It is a super-2 number, since 2×10200100311131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10200100311151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100050155565 + 5100050155566.

It is an arithmetic number, because the mean of its divisors is an integer number (5100050155566).

Almost surely, 2^{10200100311131} is an apocalyptic number.

10200100311131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200100311131 is an equidigital number, since it uses as much as digits as its factorization.

10200100311131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10200100311131 its reverse (13111300100201), we get a palindrome (23311400411332).

The spelling of 10200100311131 in words is "ten trillion, two hundred billion, one hundred million, three hundred eleven thousand, one hundred thirty-one".