1011010032 has 80 divisors (see below), whose sum is σ = 2911634080. Its totient is φ = 335881728.

The previous prime is 1011010031. The next prime is 1011010123. The reversal of 1011010032 is 2300101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011009996 and 1011010023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010031) 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, 131478 + ... + 138954.

It is an arithmetic number, because the mean of its divisors is an integer number (36395426).

Almost surely, 2^1011010032 is an apocalyptic number.

1011010032 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 1011010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455817040).

1011010032 is an abundant number, since it is smaller than the sum of its proper divisors (1900624048).

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

1011010032 is a wasteful number, since it uses less digits than its factorization.

1011010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011010032 is about 31796.3839453483. The cubic root of 1011010032 is about 1003.6566234740.

Adding to 1011010032 its reverse (2300101101), we get a palindrome (3311111133).

The spelling of 1011010032 in words is "one billion, eleven million, ten thousand, thirty-two".