201444131000 has 128 divisors (see below), whose sum is σ = 541698917760. Its totient is φ = 68684544000.

The previous prime is 201444130999. The next prime is 201444131041. The reversal of 201444131000 is 131444102.

It is a super-2 number, since 2×201444131000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187504 + ... + 1346496.

It is an arithmetic number, because the mean of its divisors is an integer number (4232022795).

Almost surely, 2^201444131000 is an apocalyptic number.

201444131000 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 201444131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270849458880).

201444131000 is an abundant number, since it is smaller than the sum of its proper divisors (340254786760).

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

201444131000 is a wasteful number, since it uses less digits than its factorization.

201444131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159202 (or 159188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201444131000 its reverse (131444102), we get a palindrome (201575575102).

The spelling of 201444131000 in words is "two hundred one billion, four hundred forty-four million, one hundred thirty-one thousand".