10031032132400 has 120 divisors (see below), whose sum is σ = 25401478048080. Its totient is φ = 3796209607680.

The previous prime is 10031032132367. The next prime is 10031032132427. The reversal of 10031032132400 is 423123013001.

It is a super-2 number, since 2×10031032132400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4881422 + ... + 6624978.

It is an arithmetic number, because the mean of its divisors is an integer number (211678983734).

Almost surely, 2^{10031032132400} is an apocalyptic number.

10031032132400 is a gapful number since it is divisible by the number (10) 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 10031032132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700739024040).

10031032132400 is an abundant number, since it is smaller than the sum of its proper divisors (15370445915680).

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

10031032132400 is a wasteful number, since it uses less digits than its factorization.

10031032132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744351 (or 1744340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10031032132400 its reverse (423123013001), we get a palindrome (10454155145401).

The spelling of 10031032132400 in words is "ten trillion, thirty-one billion, thirty-two million, one hundred thirty-two thousand, four hundred".