201331020 has 48 divisors (see below), whose sum is σ = 614976768. Its totient is φ = 48807360.

The previous prime is 201331003. The next prime is 201331027. The reversal of 201331020 is 20133102.

It is a happy number.

It is a super-2 number, since 2×201331020² = 81068359228480800, which 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 = 201330987 and 201331005.

It is not an unprimeable number, because it can be changed into a prime (201331027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151864 + ... + 153183.

It is an arithmetic number, because the mean of its divisors is an integer number (12812016).

Almost surely, 2^201331020 is an apocalyptic number.

201331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331020 is an abundant number, since it is smaller than the sum of its proper divisors (413645748).

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

201331020 is a wasteful number, since it uses less digits than its factorization.

201331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305070 (or 305068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201331020 is about 14189.1162515500. The cubic root of 201331020 is about 586.0979890263.

Adding to 201331020 its reverse (20133102), we get a palindrome (221464122).

It can be divided in two parts, 2013 and 31020, that added together give a palindrome (33033).

The spelling of 201331020 in words is "two hundred one million, three hundred thirty-one thousand, twenty".