101040313032 has 160 divisors (see below), whose sum is σ = 285753600000. Its totient is φ = 33354187776.

The previous prime is 101040313013. The next prime is 101040313081. The reversal of 101040313032 is 230313040101.

101040313032 is a `hidden beast` number, since 101 + 0 + 403 + 130 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101040312996 and 101040313014.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80896344 + ... + 80897592.

It is an arithmetic number, because the mean of its divisors is an integer number (1785960000).

Almost surely, 2^101040313032 is an apocalyptic number.

101040313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101040313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142876800000).

101040313032 is an abundant number, since it is smaller than the sum of its proper divisors (184713286968).

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

101040313032 is a wasteful number, since it uses less digits than its factorization.

101040313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101040313032 its reverse (230313040101), we get a palindrome (331353353133).

The spelling of 101040313032 in words is "one hundred one billion, forty million, three hundred thirteen thousand, thirty-two".