101513429 has 2 divisors, whose sum is σ = 101513430. Its totient is φ = 101513428.

The previous prime is 101513407. The next prime is 101513431. The reversal of 101513429 is 924315101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97911025 + 3602404 = 9895^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513429 - 2¹² = 101509333 is a prime.

Together with 101513431, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_5843600 and since 101513429 and 5843600 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 101513398 and 101513407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101513729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50756714 + 50756715.

It is an arithmetic number, because the mean of its divisors is an integer number (50756715).

Almost surely, 2^101513429 is an apocalyptic number.

It is an amenable number.

101513429 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513429 is an equidigital number, since it uses as much as digits as its factorization.

101513429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101513429 is about 10075.3872878416. The cubic root of 101513429 is about 466.4887407309.

The spelling of 101513429 in words is "one hundred one million, five hundred thirteen thousand, four hundred twenty-nine".