101948131 has 2 divisors, whose sum is σ = 101948132. Its totient is φ = 101948130.

The previous prime is 101948117. The next prime is 101948149. The reversal of 101948131 is 131849101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101948131 - 2¹⁷ = 101817059 is a prime.

It is a super-2 number, since 2×101948131² = 20786842828786322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101948131.

It is not a weakly prime, because it can be changed into another prime (101948831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50974065 + 50974066.

It is an arithmetic number, because the mean of its divisors is an integer number (50974066).

Almost surely, 2^101948131 is an apocalyptic number.

101948131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101948131 is an equidigital number, since it uses as much as digits as its factorization.

101948131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 101948131 is about 10096.9367136771. The cubic root of 101948131 is about 467.1536603812.

The spelling of 101948131 in words is "one hundred one million, nine hundred forty-eight thousand, one hundred thirty-one".