201312903000 has 768 divisors, whose sum is σ = 716333829120. Its totient is φ = 47013120000.

The previous prime is 201312902977. The next prime is 201312903037. The reversal of 201312903000 is 309213102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1881428947 + ... + 1881429053.

It is an arithmetic number, because the mean of its divisors is an integer number (932726340).

Almost surely, 2^201312903000 is an apocalyptic number.

201312903000 is a gapful number since it is divisible by the number (20) 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 201312903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358166914560).

201312903000 is an abundant number, since it is smaller than the sum of its proper divisors (515020926120).

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

201312903000 is a wasteful number, since it uses less digits than its factorization.

201312903000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 201312903000 in words is "two hundred one billion, three hundred twelve million, nine hundred three thousand".