20131203456 has 640 divisors, whose sum is σ = 77685484800. Its totient is φ = 5025411072.

The previous prime is 20131203439. The next prime is 20131203473. The reversal of 20131203456 is 65430213102.

20131203456 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 203 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (20131203439) and next prime (20131203473).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17925711 + ... + 17926833.

It is an arithmetic number, because the mean of its divisors is an integer number (121383570).

Almost surely, 2^20131203456 is an apocalyptic number.

20131203456 is a gapful number since it is divisible by the number (26) 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 20131203456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38842742400).

20131203456 is an abundant number, since it is smaller than the sum of its proper divisors (57554281344).

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

20131203456 is a wasteful number, since it uses less digits than its factorization.

20131203456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20131203456 its reverse (65430213102), we get a palindrome (85561416558).

The spelling of 20131203456 in words is "twenty billion, one hundred thirty-one million, two hundred three thousand, four hundred fifty-six".