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1001231331131 = 19223831128433
BaseRepresentation
bin11101001000111100000…
…10011010111100111011
310112201100112101112020202
432210132002122330323
5112401010210044011
62043543114112415
7132223305615503
oct16443602327473
93481315345222
101001231331131
1135668aa91229
1214206641b70b
137355340cb45
1436661bb0a03
151b09e8e023b
hexe91e09af3b

1001231331131 has 16 divisors (see below), whose sum is σ = 1058818467840. Its totient is φ = 944134600320.

The previous prime is 1001231331103. The next prime is 1001231331143. The reversal of 1001231331131 is 1311331321001.

It is a cyclic number.

It is not a de Polignac number, because 1001231331131 - 218 = 1001231068987 is a prime.

It is a super-2 number, since 2×10012313311312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001231331031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35199491 + ... + 35227923.

It is an arithmetic number, because the mean of its divisors is an integer number (66176154240).

Almost surely, 21001231331131 is an apocalyptic number.

1001231331131 is a deficient number, since it is larger than the sum of its proper divisors (57587136709).

1001231331131 is a wasteful number, since it uses less digits than its factorization.

1001231331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36986.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1001231331131 its reverse (1311331321001), we get a palindrome (2312562652132).

The spelling of 1001231331131 in words is "one trillion, one billion, two hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 19 223 4237 8311 28433 157909 540227 1853353 6340559 35213707 120470621 236306663 4489826597 52696385849 1001231331131