101131233829 has 2 divisors, whose sum is σ = 101131233830. Its totient is φ = 101131233828.

The previous prime is 101131233799. The next prime is 101131233857. The reversal of 101131233829 is 928332131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68803913025 + 32327320804 = 262305^2 + 179798^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131233829 - 2²⁹ = 100594362917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101131233794 and 101131233803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131230829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565616914 + 50565616915.

It is an arithmetic number, because the mean of its divisors is an integer number (50565616915).

Almost surely, 2^101131233829 is an apocalyptic number.

It is an amenable number.

101131233829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131233829 is an equidigital number, since it uses as much as digits as its factorization.

101131233829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 101131233829 in words is "one hundred one billion, one hundred thirty-one million, two hundred thirty-three thousand, eight hundred twenty-nine".