2031142133340 has 192 divisors, whose sum is σ = 6693134353920. Its totient is φ = 509600609280.

The previous prime is 2031142133309. The next prime is 2031142133359. The reversal of 2031142133340 is 433312411302.

It is a happy number.

2031142133340 is a `hidden beast` number, since 2 + 0 + 3 + 114 + 213 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27604239 + ... + 27677721.

It is an arithmetic number, because the mean of its divisors is an integer number (34860074760).

Almost surely, 2^{2031142133340} is an apocalyptic number.

2031142133340 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 2031142133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346567176960).

2031142133340 is an abundant number, since it is smaller than the sum of its proper divisors (4661992220580).

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

2031142133340 is a wasteful number, since it uses less digits than its factorization.

2031142133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76529 (or 76521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2031142133340 its reverse (433312411302), we get a palindrome (2464454544642).

The spelling of 2031142133340 in words is "two trillion, thirty-one billion, one hundred forty-two million, one hundred thirty-three thousand, three hundred forty".