10101001101131 has 2 divisors, whose sum is σ = 10101001101132. Its totient is φ = 10101001101130.

The previous prime is 10101001101073. The next prime is 10101001101173. The reversal of 10101001101131 is 13110110010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101001101131 - 2¹⁰ = 10101001100107 is a prime.

It is a super-2 number, since 2×10101001101131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101001101431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500550565 + 5050500550566.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500550566).

Almost surely, 2^{10101001101131} is an apocalyptic number.

10101001101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001101131 is an equidigital number, since it uses as much as digits as its factorization.

10101001101131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10101001101131 its reverse (13110110010101), we get a palindrome (23211111111232).

The spelling of 10101001101131 in words is "ten trillion, one hundred one billion, one million, one hundred one thousand, one hundred thirty-one".