101303004132 has 240 divisors, whose sum is σ = 293711953920. Its totient is φ = 30189931200.

The previous prime is 101303004119. The next prime is 101303004151. The reversal of 101303004132 is 231400303101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93194493 + ... + 93195579.

It is an arithmetic number, because the mean of its divisors is an integer number (1223799808).

Almost surely, 2^101303004132 is an apocalyptic number.

101303004132 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 101303004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146855976960).

101303004132 is an abundant number, since it is smaller than the sum of its proper divisors (192408949788).

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

101303004132 is a wasteful number, since it uses less digits than its factorization.

101303004132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1513 counting only the distinct ones).

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

Adding to 101303004132 its reverse (231400303101), we get a palindrome (332703307233).

The spelling of 101303004132 in words is "one hundred one billion, three hundred three million, four thousand, one hundred thirty-two".