101531437063248 has 160 divisors (see below), whose sum is σ = 265943614590720. Its totient is φ = 33374467624960.

The previous prime is 101531437063247. The next prime is 101531437063267. The reversal of 101531437063248 is 842360734135101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 101531437063197 and 101531437063206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531437063247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453555518 + ... + 2453596898.

It is an arithmetic number, because the mean of its divisors is an integer number (1662147591192).

Almost surely, 2^{101531437063248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101531437063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132971807295360).

101531437063248 is an abundant number, since it is smaller than the sum of its proper divisors (164412177527472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101531437063248 is a wasteful number, since it uses less digits than its factorization.

101531437063248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42997 (or 42991 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 101531437063248 in words is "one hundred one trillion, five hundred thirty-one billion, four hundred thirty-seven million, sixty-three thousand, two hundred forty-eight".