101111131973 has 2 divisors, whose sum is σ = 101111131974. Its totient is φ = 101111131972.

The previous prime is 101111131963. The next prime is 101111132009. The reversal of 101111131973 is 379131111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95568776164 + 5542355809 = 309142^2 + 74447^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111131973 - 2⁶ = 101111131909 is a prime.

It is a super-2 number, since 2×101111131973² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111131943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555565986 + 50555565987.

It is an arithmetic number, because the mean of its divisors is an integer number (50555565987).

Almost surely, 2^101111131973 is an apocalyptic number.

It is an amenable number.

101111131973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111131973 is an equidigital number, since it uses as much as digits as its factorization.

101111131973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 101111131973 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-one thousand, nine hundred seventy-three".