101321120131993 has 2 divisors, whose sum is σ = 101321120131994. Its totient is φ = 101321120131992.

The previous prime is 101321120131963. The next prime is 101321120132003. The reversal of 101321120131993 is 399131021123101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68044235725449 + 33276884406544 = 8248893^2 + 5768612^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321120131993 - 2²¹ = 101321118034841 is a prime.

It is not a weakly prime, because it can be changed into another prime (101321120131943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660560065996 + 50660560065997.

It is an arithmetic number, because the mean of its divisors is an integer number (50660560065997).

Almost surely, 2^{101321120131993} is an apocalyptic number.

It is an amenable number.

101321120131993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321120131993 is an equidigital number, since it uses as much as digits as its factorization.

101321120131993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 101321120131993 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred twenty million, one hundred thirty-one thousand, nine hundred ninety-three".