201131001120 has 192 divisors, whose sum is σ = 766664269056. Its totient is φ = 43268505600.

The previous prime is 201131001107. The next prime is 201131001133. The reversal of 201131001120 is 21100131102.

It is an interprime number because it is at equal distance from previous prime (201131001107) and next prime (201131001133).

It is a super-2 number, since 2×201131001120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201131001096 and 201131001105.

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 31 ways as a sum of consecutive naturals, for example, 1703481 + ... + 1817720.

It is an arithmetic number, because the mean of its divisors is an integer number (3993043068).

Almost surely, 2^201131001120 is an apocalyptic number.

201131001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201131001120 is an abundant number, since it is smaller than the sum of its proper divisors (565533267936).

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

201131001120 is a wasteful number, since it uses less digits than its factorization.

201131001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521243 (or 3521235 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201131001120 its reverse (21100131102), we get a palindrome (222231132222).

The spelling of 201131001120 in words is "two hundred one billion, one hundred thirty-one million, one thousand, one hundred twenty".