201431020010004 has 144 divisors (see below), whose sum is σ = 523699172505600. Its totient is φ = 65233494789120.

The previous prime is 201431020009993. The next prime is 201431020010021. The reversal of 201431020010004 is 400010020134102.

201431020010004 is a `hidden beast` number, since 20 + 1 + 431 + 0 + 200 + 10 + 0 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536140237 + ... + 2536219659.

Almost surely, 2^{201431020010004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201431020010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261849586252800).

201431020010004 is an abundant number, since it is smaller than the sum of its proper divisors (322268152495596).

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

201431020010004 is a wasteful number, since it uses less digits than its factorization.

201431020010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82230 (or 82225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201431020010004 its reverse (400010020134102), we get a palindrome (601441040144106).

The spelling of 201431020010004 in words is "two hundred one trillion, four hundred thirty-one billion, twenty million, ten thousand, four".