101031410213 has 8 divisors (see below), whose sum is σ = 101781875160. Its totient is φ = 100281134080.

The previous prime is 101031410203. The next prime is 101031410251. The reversal of 101031410213 is 312014130101.

It can be written as a sum of positive squares in 4 ways, for example, as 58721569 + 100972688644 = 7663^2 + 317762^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101031410213 - 2⁸ = 101031409957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101031410191 and 101031410200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031410203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136603 + ... + 1222263.

It is an arithmetic number, because the mean of its divisors is an integer number (12722734395).

Almost surely, 2^101031410213 is an apocalyptic number.

It is an amenable number.

101031410213 is a deficient number, since it is larger than the sum of its proper divisors (750464947).

101031410213 is an equidigital number, since it uses as much as digits as its factorization.

101031410213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94407.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101031410213 its reverse (312014130101), we get a palindrome (413045540314).

The spelling of 101031410213 in words is "one hundred one billion, thirty-one million, four hundred ten thousand, two hundred thirteen".