20130201031200 has 1152 divisors, whose sum is σ = 76046212730880. Its totient is φ = 4583087308800.

The previous prime is 20130201031183. The next prime is 20130201031231. The reversal of 20130201031200 is 213010203102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20130201031200.

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, 17190606615 + ... + 17190607785.

It is an arithmetic number, because the mean of its divisors is an integer number (66012337440).

Almost surely, 2^{20130201031200} is an apocalyptic number.

20130201031200 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 20130201031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38023106365440).

20130201031200 is an abundant number, since it is smaller than the sum of its proper divisors (55916011699680).

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

20130201031200 is a wasteful number, since it uses less digits than its factorization.

20130201031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20130201031200 its reverse (213010203102), we get a palindrome (20343211234302).

The spelling of 20130201031200 in words is "twenty trillion, one hundred thirty billion, two hundred one million, thirty-one thousand, two hundred".