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131041210401332 = 22711171019229310711
BaseRepresentation
bin11101110010111001101000…
…110011000000001000110100
3122011222102021021002000020022
4131302321220303000020310
5114133434344330320312
61142411300114224312
736413262232120250
oct3562715063001064
9564872237060208
10131041210401332
11388322a1041640
12128447b8285098
1358171965c9b8a
1424505dd84d260
151023a38bd9172
hex772e68cc0234

131041210401332 has 192 divisors, whose sum is σ = 303183754997760. Its totient is φ = 47979209779200.

The previous prime is 131041210401323. The next prime is 131041210401337. The reversal of 131041210401332 is 233104012140131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041210401337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12234259457 + ... + 12234270167.

It is an arithmetic number, because the mean of its divisors is an integer number (1579082057280).

Almost surely, 2131041210401332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041210401332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151591877498880).

131041210401332 is an abundant number, since it is smaller than the sum of its proper divisors (172142544596428).

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

131041210401332 is a wasteful number, since it uses less digits than its factorization.

131041210401332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131041210401332 its reverse (233104012140131), we get a palindrome (364145222541463).

The spelling of 131041210401332 in words is "one hundred thirty-one trillion, forty-one billion, two hundred ten million, four hundred one thousand, three hundred thirty-two".