101348038113741 has 48 divisors (see below), whose sum is σ = 147996252278784. Its totient is φ = 66829551658272.

The previous prime is 101348038113737. The next prime is 101348038113757. The reversal of 101348038113741 is 147311830843101.

101348038113741 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 480 + 38 + 1 + 137 + 4 + 1 = 666.

It is not a de Polignac number, because 101348038113741 - 2² = 101348038113737 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101348038113241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253790956 + ... + 254189978.

It is an arithmetic number, because the mean of its divisors is an integer number (3083255255808).

Almost surely, 2^{101348038113741} is an apocalyptic number.

It is an amenable number.

101348038113741 is a deficient number, since it is larger than the sum of its proper divisors (46648214165043).

101348038113741 is a wasteful number, since it uses less digits than its factorization.

101348038113741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400030 (or 400027 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 101348038113741 its reverse (147311830843101), we get a palindrome (248659868956842).

The spelling of 101348038113741 in words is "one hundred one trillion, three hundred forty-eight billion, thirty-eight million, one hundred thirteen thousand, seven hundred forty-one".