101003032412113 has 16 divisors (see below), whose sum is σ = 113544615695616. Its totient is φ = 89146243327680.

The previous prime is 101003032412111. The next prime is 101003032412119. The reversal of 101003032412113 is 311214230300101.

It is a cyclic number.

It is not a de Polignac number, because 101003032412113 - 2¹ = 101003032412111 is a prime.

It is a super-2 number, since 2×101003032412113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101003032412111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63017158 + ... + 64600063.

It is an arithmetic number, because the mean of its divisors is an integer number (7096538480976).

Almost surely, 2^{101003032412113} is an apocalyptic number.

101003032412113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101003032412113 is a deficient number, since it is larger than the sum of its proper divisors (12541583283503).

101003032412113 is a wasteful number, since it uses less digits than its factorization.

101003032412113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127619904.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101003032412113 its reverse (311214230300101), we get a palindrome (412217262712214).

The spelling of 101003032412113 in words is "one hundred one trillion, three billion, thirty-two million, four hundred twelve thousand, one hundred thirteen".