101033131 has 2 divisors, whose sum is σ = 101033132. Its totient is φ = 101033130.

The previous prime is 101033099. The next prime is 101033137. The reversal of 101033131 is 131330101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101033131 - 2⁵ = 101033099 is a prime.

It is a super-2 number, since 2×101033131² = 20415387119326322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101033137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516565 + 50516566.

It is an arithmetic number, because the mean of its divisors is an integer number (50516566).

Almost surely, 2^101033131 is an apocalyptic number.

101033131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101033131 is an equidigital number, since it uses as much as digits as its factorization.

101033131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 101033131 is about 10051.5238148253. The cubic root of 101033131 is about 465.7518664617.

Adding to 101033131 its reverse (131330101), we get a palindrome (232363232).

The spelling of 101033131 in words is "one hundred one million, thirty-three thousand, one hundred thirty-one".